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Finding the Third Proportional to 1,412,513,223 and 2,204,597,556

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Solution

The third proportional to 1,412,513,223 and 2,204,597,556 is: 3,440,853,016.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,513,223 : 2,204,597,556 = 2,204,597,556 : x
  2. Step 2: Convert to fraction form
    1,412,513,223/2,204,597,556 = 2,204,597,556/x
  3. Step 3: Cross multiply
    1,412,513,223x = 2,204,597,556 × 2,204,597,556
  4. Step 4: Simplify right side
    1,412,513,223x = 4,860,250,383,921,173,504
  5. Step 5: Solve for x
    x = 4,860,250,383,921,173,504/1,412,513,223
  6. Step 6: Final answer
    x = 3,440,853,016.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.